7(6-2n)=5(-3a+1)

Solution for 7(6-2n)=5(-3a+1) equation:

Simplifying
7(6 + -2n) = 5(-3a + 1)
(6 * 7 + -2n * 7) = 5(-3a + 1)
(42 + -14n) = 5(-3a + 1)

Reorder the terms:
42 + -14n = 5(1 + -3a)
42 + -14n = (1 * 5 + -3a * 5)
42 + -14n = (5 + -15a)

Solving
42 + -14n = 5 + -15a

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-42' to each side of the equation.
42 + -42 + -14n = 5 + -42 + -15a

Combine like terms: 42 + -42 = 0
0 + -14n = 5 + -42 + -15a
-14n = 5 + -42 + -15a

Combine like terms: 5 + -42 = -37
-14n = -37 + -15a

Divide each side by '-14'.
n = 2.642857143 + 1.071428571a

Simplifying
n = 2.642857143 + 1.071428571a